Pith Number

pith:DXFGGVOS

pith:2015:DXFGGVOSSTLM5Z5XFJZDCCFZGI

not attested not anchored not stored refs pending

Twisting Hopf algebras from cocycle deformations

Agust\'in Garc\'ia Iglesias, Nicol\'as Andruskiewitsch

arxiv:1512.01696 v2 · 2015-12-05 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXFGGVOSSTLM5Z5XFJZDCCFZGI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:12:32.592091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dca6355d294d6cee7b72a723108b9323760909606135c6f1c8aacf6b916d459

Aliases

arxiv: 1512.01696 · arxiv_version: 1512.01696v2 · doi: 10.48550/arxiv.1512.01696 · pith_short_12: DXFGGVOSSTLM · pith_short_16: DXFGGVOSSTLM5Z5X · pith_short_8: DXFGGVOS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DXFGGVOSSTLM5Z5XFJZDCCFZGI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1dca6355d294d6cee7b72a723108b9323760909606135c6f1c8aacf6b916d459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9350995c8719f9f91c2adb6d0fea23a269c72bbcafa43c86e5657d7d378e5896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-05T18:59:36Z",
    "title_canon_sha256": "c91b77049a8b30c51d3137c9e1716700e401cea34336690299ee091684e17e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01696",
    "kind": "arxiv",
    "version": 2
  }
}